Some Characterizations of the Properties ■ and LB∞

被引：0
|
作者：
Thuan Quang THAI Department of Mathematics
机构：
来源：
Acta Mathematica Sinica(English Series) | 2004年 / 20卷 / 04期
关键词：
Holomorphic functions; Topological linear invariants; Dirichlet representation;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
The aim of this paper is to give some properties of the linear topological invariant ■Using these results we show that a nuclear Fréchet space F has the property LBif and only if everyseparately holomorphic function on an open subset U×V of E×F has a local Dirichlet representation,where E is a nuclear Fréchet space with the property■having a basis.
引用
收藏
页码：613 / 628
页数：16
相关论文
共 50 条
  • [1] Some Characterizations of the Properties ■~∞ and LB∞
    Thuan Quang THAI
    Acta Mathematicae Applicatae Sinica(English Series), 2004, (04) : 613 - 628
  • [2] Some characterizations of the properties (LB)over-tilde∞ and LB∞
    Thai, TQ
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2004, 20 (04) : 613 - 628
  • [3] Some characterizations of the disc by properties of isoptic triangles
    Rafael I. Ayala-Figueroa
    Iván González-García
    Jesús Jerónimo-Castro
    Francisco G. Jimenez-Lopez
    Aequationes mathematicae, 2024, 98 : 591 - 602
  • [4] Some characterizations of the disc by properties of isoptic triangles
    Ayala-Figueroa, Rafael I.
    Gonzalez-Garcia, Ivan
    Jeronimo-Castro, Jesus
    Jimenez-Lopez, Francisco G.
    AEQUATIONES MATHEMATICAE, 2024, 98 (02) : 591 - 602
  • [5] Characterizations of Some Transversality-Type Properties
    Apostolov, Stoyan
    Bivas, Mira
    Ribarska, Nadezhda
    SET-VALUED AND VARIATIONAL ANALYSIS, 2022, 30 (03) : 1041 - 1060
  • [6] Some Characterizations and Properties of a New Partial Order
    Liu, Xiaoji
    Gui, Fang
    JOURNAL OF MATHEMATICS, 2020, 2020
  • [7] Characterizations of Some Transversality-Type Properties
    Stoyan Apostolov
    Mira Bivas
    Nadezhda Ribarska
    Set-Valued and Variational Analysis, 2022, 30 : 1041 - 1060
  • [8] Some properties and characterizations for generalized multivariate Pareto distributions
    Yeh, HC
    JOURNAL OF MULTIVARIATE ANALYSIS, 2004, 88 (01) : 47 - 60
  • [9] Some new characterizations and properties of quasi-copulas
    Rodriguez-Lallena, Jose Antonio
    Ubeda-Flores, Manuel
    FUZZY SETS AND SYSTEMS, 2009, 160 (06) : 717 - 725
  • [10] SOME CHARACTERIZATIONS OF DISCRETE DISTRIBUTIONS BY PROPERTIES OF THEIR MOMENT DISTRIBUTIONS
    GUPTA, RC
    COMMUNICATIONS IN STATISTICS, 1975, 4 (08): : 761 - 765
12345